Question

The Jurassic Zoo charges $15 for each adult admission and $6 for each child. The total bill for the 185 people from a school trip was $1569. How many adults and how many children went to the zoo?

Answer 1

The number of adults visiting the zoo = 51

The number of children visiting the zoo = 134

Explanation:

Let us assume the number of adults going to the zoo = m

Total number of people visiting the zoo = 185

SO, the number of children visiting the zoo = 185 - m

Now, the cost of 1 adult ticket = $15

So, the total cost of m adult tickets = m x ( cost of 1 adult ticket)

= m x ( $15) = 1 5 m

And, the cost of 1 children ticket = $6

So, the total cost of ( 185 - m) adult tickets

= ( 185 - m) x ( cost of 1 children ticket) = (185 - m ) x ( $6) = 6( 185 - m)

Also, the combined cost of all tickets = $ 1569

⇒ The cost of ( Adult's tickets + Children's Tickets) = $1569

or, 15 m + 6( 185 - m) = $1569

or, 15 m + 1110 - 6 m = 1569

or, 9 m = 459

⇒ m = 459/9 = 51 , or m = 51

Hence the number of adults visiting the zoo = m = 51

The number of children visiting the zoo = 185 -m = 134